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A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 4096 in3. How big a piece of cardboard is needed?

Your answer is:
in. by
in.

Respuesta :

AnimalPost

Answer:

oh wait I'm bad - ignore this first answer lol - I didn't read the part that says cutting 4 in. squares off the corners

Here's my previous one if you wanna see it though:

Answer:

A = 1280 in²

Step-by-step explanation:  

We know that the volume of a cube is A = a³, where a is the length of one of the edges.  

So, to find a:  

a³ = 4096

a = ∛4096  

a = 16 in

Now, we need to find the surface area of the square on the cube, where:

A = 6a², because we are making a box (that is empty inside).  

However, we need to change the formula to:

A = 5a², because the problem says that there is no top (so there are only 5 squares)

A = 5(16)²

A = 1280 in²

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